Codimension measures the difference in dimension between a mathematical object, such as a subspace or submanifold, and the larger ambient space that contains it, computed as the ambient dimension minus the object's own dimension. In linear algebra, the codimension of a subspace equals the dimension of any complementary subspace, while in topology and algebraic geometry, the codimension of a submanifold or subvariety describes how many independent conditions are needed to cut it out locally. A hyperplane inside an n-dimensional space, for instance, has codimension one, since it can be described by a single equation.
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Source Wolfram MathWorld: Codimension
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1. Codimension (Wikipedia)
Lead sectionQuote, Lead section
In mathematics, codimension is a basic geometric idea that applies to subspaces in vector spaces, to submanifolds in manifolds, and suitable subsets of algebraic varieties.
Wolfram MathWorld: Codimension
Wolfram MathWorldIn Branch: Dynamical Systems, Subject classificationsQuote, In Branch: Dynamical Systems, Subject classifications
Calculus and Analysis Dynamical Systems
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